1157625 has 64 divisors (see below), whose sum is σ = 2496000. Its totient is φ = 529200.

The previous prime is 1157621. The next prime is 1157627. The reversal of 1157625 is 5267511.

The cubic root of 1157625 is 105.

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

It is not a de Polignac number, because 1157625 - 2² = 1157621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2100) is a multiple of the sum of its prime divisors (15).

It is not an unprimeable number, because it can be changed into a prime (1157621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165372 + ... + 165378.

It is an arithmetic number, because the mean of its divisors is an integer number (39000).

2^1157625 is an apocalyptic number.

1157625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1157625 is an abundant number, since it is smaller than the sum of its proper divisors (1338375).

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

1157625 is an frugal number, since it uses more digits than its factorization.

1157625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 15 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 1157625 is about 1075.9298304258.

Multiplying 1157625 by its sum of digits (27), we get a cube (31255875 = 315³).

1157625 divided by its sum of digits (27) gives a cube (42875 = 35³).

The spelling of 1157625 in words is "one million, one hundred fifty-seven thousand, six hundred twenty-five".