82961900 has 54 divisors (see below), whose sum is σ = 209431908. Its totient is φ = 28442400.

The previous prime is 82961899. The next prime is 82961933. The reversal of 82961900 is 916928.

It is a super-2 number, since 2×82961900² = 13765353703220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3566 + ... + 13365.

Almost surely, 2^82961900 is an apocalyptic number.

It is an amenable number.

82961900 is an abundant number, since it is smaller than the sum of its proper divisors (126470008).

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

82961900 is a wasteful number, since it uses less digits than its factorization.

82961900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16959 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 82961900 is about 9108.3423299742. The cubic root of 82961900 is about 436.1403119933.

The spelling of 82961900 in words is "eighty-two million, nine hundred sixty-one thousand, nine hundred".