82962144 has 144 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 26946432.

The previous prime is 82962137. The next prime is 82962149. The reversal of 82962144 is 44126928.

82962144 is a `hidden beast` number, since 8 + 29 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82962099 and 82962108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82962149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365359 + ... + 365585.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^82962144 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 82962144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

82962144 is an abundant number, since it is smaller than the sum of its proper divisors (168005664).

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

82962144 is a wasteful number, since it uses less digits than its factorization.

82962144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82962144 is about 9108.3557242787. The cubic root of 82962144 is about 436.1407395716.

It can be divided in two parts, 8296 and 2144, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 82962144 in words is "eighty-two million, nine hundred sixty-two thousand, one hundred forty-four".