83456900 has 18 divisors (see below), whose sum is σ = 181101690. Its totient is φ = 33382720.

The previous prime is 83456887. The next prime is 83456909. The reversal of 83456900 is 965438.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 83210884 = 496^2 + 9122^2 .

It is a super-2 number, since 2×83456900² = 13930108315220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83456909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417185 + ... + 417384.

It is an arithmetic number, because the mean of its divisors is an integer number (10061205).

Almost surely, 2^83456900 is an apocalyptic number.

It is an amenable number.

83456900 is an abundant number, since it is smaller than the sum of its proper divisors (97644790).

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

83456900 is a wasteful number, since it uses less digits than its factorization.

83456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834583 (or 834576 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 83456900 is about 9135.4748097732. The cubic root of 83456900 is about 437.0060166005.

The spelling of 83456900 in words is "eighty-three million, four hundred fifty-six thousand, nine hundred".