83722500 has 135 divisors (see below), whose sum is σ = 268861593. Its totient is φ = 21960000.

The previous prime is 83722489. The next prime is 83722511. The reversal of 83722500 is 522738.

The square root of 83722500 is 9150.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (83722489) and next prime (83722511).

It can be written as a sum of positive squares in 7 ways, for example, as 82846404 + 876096 = 9102^2 + 936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1372470 + ... + 1372530.

Almost surely, 2^83722500 is an apocalyptic number.

83722500 is the 9150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83722500

83722500 is an abundant number, since it is smaller than the sum of its proper divisors (185139093).

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

83722500 is a wasteful number, since it uses less digits than its factorization.

83722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 83722500 is about 437.4691134658.

The spelling of 83722500 in words is "eighty-three million, seven hundred twenty-two thousand, five hundred".