82964700 has 216 divisors, whose sum is σ = 320375328. Its totient is φ = 17487360.

The previous prime is 82964699. The next prime is 82964701. The reversal of 82964700 is 746928.

82964700 is a `hidden beast` number, since 8 + 2 + 9 + 647 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82964699) and next prime (82964701).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82964701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81394 + ... + 82406.

Almost surely, 2^82964700 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 82964700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160187664).

82964700 is an abundant number, since it is smaller than the sum of its proper divisors (237410628).

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

82964700 is a wasteful number, since it uses less digits than its factorization.

82964700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82964700 is about 9108.4960339235. The cubic root of 82964700 is about 436.1452185795.

It can be divided in two parts, 8296 and 4700, that added together give a square (12996 = 114²).

The spelling of 82964700 in words is "eighty-two million, nine hundred sixty-four thousand, seven hundred".