83057300 has 36 divisors (see below), whose sum is σ = 181313916. Its totient is φ = 33024000.

The previous prime is 83057279. The next prime is 83057321. The reversal of 83057300 is 375038.

It is an interprime number because it is at equal distance from previous prime (83057279) and next prime (83057321).

It can be written as a sum of positive squares in 6 ways, for example, as 1552516 + 81504784 = 1246^2 + 9028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83057300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14900 + ... + 19700.

Almost surely, 2^83057300 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 83057300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90656958).

83057300 is an abundant number, since it is smaller than the sum of its proper divisors (98256616).

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

83057300 is a wasteful number, since it uses less digits than its factorization.

83057300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 83057300 is about 9113.5777826274. The cubic root of 83057300 is about 436.3074242353.

The spelling of 83057300 in words is "eighty-three million, fifty-seven thousand, three hundred".