82965376 has 64 divisors (see below), whose sum is σ = 180699120. Its totient is φ = 37711872.

The previous prime is 82965371. The next prime is 82965383. The reversal of 82965376 is 67356928.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×82965376² = 13766507229642752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82965371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121131 + ... + 121813.

Almost surely, 2^82965376 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 82965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90349560).

82965376 is an abundant number, since it is smaller than the sum of its proper divisors (97733744).

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

82965376 is a wasteful number, since it uses less digits than its factorization.

82965376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 771 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 82965376 is about 9108.5331420597. The cubic root of 82965376 is about 436.1464031530.

The spelling of 82965376 in words is "eighty-two million, nine hundred sixty-five thousand, three hundred seventy-six".