82964364 has 48 divisors (see below), whose sum is σ = 221894400. Its totient is φ = 23633856.

The previous prime is 82964359. The next prime is 82964417. The reversal of 82964364 is 46346928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31407 + ... + 33945.

It is an arithmetic number, because the mean of its divisors is an integer number (4622800).

Almost surely, 2^82964364 is an apocalyptic number.

82964364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82964364 is an abundant number, since it is smaller than the sum of its proper divisors (138930036).

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

82964364 is a wasteful number, since it uses less digits than its factorization.

82964364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2940 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 82964364 is about 9108.4775895865. The cubic root of 82964364 is about 436.1446297950.

The spelling of 82964364 in words is "eighty-two million, nine hundred sixty-four thousand, three hundred sixty-four".