83772125 has 8 divisors (see below), whose sum is σ = 104547768. Its totient is φ = 67017600.

The previous prime is 83772109. The next prime is 83772131. The reversal of 83772125 is 52127738.

It can be written as a sum of positive squares in 4 ways, for example, as 11215801 + 72556324 = 3349^2 + 8518^2 .

It is not a de Polignac number, because 83772125 - 2⁴ = 83772109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334964 + ... + 335213.

It is an arithmetic number, because the mean of its divisors is an integer number (13068471).

Almost surely, 2^83772125 is an apocalyptic number.

It is an amenable number.

83772125 is a deficient number, since it is larger than the sum of its proper divisors (20775643).

83772125 is an equidigital number, since it uses as much as digits as its factorization.

83772125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670192 (or 670182 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 83772125 is about 9152.7113469179. The cubic root of 83772125 is about 437.5555303664. Note that the first 4 decimals are identical.

The spelling of 83772125 in words is "eighty-three million, seven hundred seventy-two thousand, one hundred twenty-five".