82874100 has 36 divisors (see below), whose sum is σ = 239783264. Its totient is φ = 22099680.

The previous prime is 82874069. The next prime is 82874101. The reversal of 82874100 is 147828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82874101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137824 + ... + 138423.

Almost surely, 2^82874100 is an apocalyptic number.

It is an amenable number.

82874100 is an abundant number, since it is smaller than the sum of its proper divisors (156909164).

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

82874100 is a wasteful number, since it uses less digits than its factorization.

82874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276264 (or 276257 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 82874100 is about 9103.5212967291. The cubic root of 82874100 is about 435.9863994299.

The spelling of 82874100 in words is "eighty-two million, eight hundred seventy-four thousand, one hundred".