82373544 has 128 divisors (see below), whose sum is σ = 256636800. Its totient is φ = 24261120.

The previous prime is 82373539. The next prime is 82373549. The reversal of 82373544 is 44537328.

It is a happy number.

82373544 is a `hidden beast` number, since 82 + 37 + 3 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (82373539) and next prime (82373549).

It is a super-2 number, since 2×82373544² = 13570801502239872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82373499 and 82373508.

It is not an unprimeable number, because it can be changed into a prime (82373549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87444 + ... + 88380.

It is an arithmetic number, because the mean of its divisors is an integer number (2004975).

Almost surely, 2^82373544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82373544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128318400).

82373544 is an abundant number, since it is smaller than the sum of its proper divisors (174263256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82373544 is a wasteful number, since it uses less digits than its factorization.

82373544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 82373544 is about 9075.9872190302. The cubic root of 82373544 is about 435.1068465243.

It can be divided in two parts, 8237 and 3544, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 82373544 in words is "eighty-two million, three hundred seventy-three thousand, five hundred forty-four".