125984385 has 24 divisors (see below), whose sum is σ = 218882664. Its totient is φ = 67034880.

The previous prime is 125984357. The next prime is 125984401. The reversal of 125984385 is 583489521.

125984385 is a `hidden beast` number, since 12 + 598 + 43 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25644096 + 100340289 = 5064^2 + 10017^2 .

It is not a de Polignac number, because 125984385 - 2⁸ = 125984129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 125984385.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17709 + ... + 23781.

It is an arithmetic number, because the mean of its divisors is an integer number (9120111).

Almost surely, 2^125984385 is an apocalyptic number.

125984385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125984385 is a deficient number, since it is larger than the sum of its proper divisors (92898279).

125984385 is a wasteful number, since it uses less digits than its factorization.

125984385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6542 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 125984385 is about 11224.2765913889. The cubic root of 125984385 is about 501.3090829459.

The spelling of 125984385 in words is "one hundred twenty-five million, nine hundred eighty-four thousand, three hundred eighty-five".