84961300 has 36 divisors (see below), whose sum is σ = 190729980. Its totient is φ = 32811520.

The previous prime is 84961277. The next prime is 84961309. The reversal of 84961300 is 316948.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 84897796 = 252^2 + 9214^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84961309) 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, 11749 + ... + 17548.

It is an arithmetic number, because the mean of its divisors is an integer number (5298055).

Almost surely, 2^84961300 is an apocalyptic number.

It is an amenable number.

84961300 is an abundant number, since it is smaller than the sum of its proper divisors (105768680).

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

84961300 is a wasteful number, since it uses less digits than its factorization.

84961300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29340 (or 29333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 84961300 is about 9217.4454161660. The cubic root of 84961300 is about 439.6162287300.

The spelling of 84961300 in words is "eighty-four million, nine hundred sixty-one thousand, three hundred".