125947965 has 64 divisors (see below), whose sum is σ = 240371712. Its totient is φ = 55507200.

The previous prime is 125947961. The next prime is 125947967. The reversal of 125947965 is 569749521.

It is not a de Polignac number, because 125947965 - 2² = 125947961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125947961) 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 63 ways as a sum of consecutive naturals, for example, 151882 + ... + 152708.

It is an arithmetic number, because the mean of its divisors is an integer number (3755808).

Almost surely, 2^125947965 is an apocalyptic number.

125947965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125947965 is a deficient number, since it is larger than the sum of its proper divisors (114423747).

125947965 is a wasteful number, since it uses less digits than its factorization.

125947965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930.

The product of its digits is 680400, while the sum is 48.

The square root of 125947965 is about 11222.6540978505. The cubic root of 125947965 is about 501.2607715714.

The spelling of 125947965 in words is "one hundred twenty-five million, nine hundred forty-seven thousand, nine hundred sixty-five".