82373504 has 32 divisors (see below), whose sum is σ = 165189000. Its totient is φ = 40914432.

The previous prime is 82373503. The next prime is 82373519. The reversal of 82373504 is 40537328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×82373504² = 13570788322476032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82373503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18047 + ... + 22145.

Almost surely, 2^82373504 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 82373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82594500).

82373504 is an abundant number, since it is smaller than the sum of its proper divisors (82815496).

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

82373504 is a wasteful number, since it uses less digits than its factorization.

82373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 82373504 is about 9075.9850154129. The cubic root of 82373504 is about 435.1067760960.

The spelling of 82373504 in words is "eighty-two million, three hundred seventy-three thousand, five hundred four".