125582337 has 12 divisors (see below), whose sum is σ = 181508964. Its totient is φ = 83669760.

The previous prime is 125582297. The next prime is 125582339. The reversal of 125582337 is 733285521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65999376 + 59582961 = 8124^2 + 7719^2 .

It is not a de Polignac number, because 125582337 - 2⁶ = 125582273 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (125582339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16137 + ... + 22617.

It is an arithmetic number, because the mean of its divisors is an integer number (15125747).

Almost surely, 2^125582337 is an apocalyptic number.

It is an amenable number.

125582337 is a deficient number, since it is larger than the sum of its proper divisors (55926627).

125582337 is a wasteful number, since it uses less digits than its factorization.

125582337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8637 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 125582337 is about 11206.3525288115. The cubic root of 125582337 is about 500.7752466972.

The spelling of 125582337 in words is "one hundred twenty-five million, five hundred eighty-two thousand, three hundred thirty-seven".