1137625 has 16 divisors (see below), whose sum is σ = 1497600. Its totient is φ = 860400.

The previous prime is 1137613. The next prime is 1137629. The reversal of 1137625 is 5267311.

It is not a de Polignac number, because 1137625 - 2¹³ = 1129433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

1137625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1137625.

It is not an unprimeable number, because it can be changed into a prime (1137629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136 + ... + 2614.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

2^1137625 is an apocalyptic number.

It is an amenable number.

1137625 is a deficient number, since it is larger than the sum of its proper divisors (359975).

1137625 is an equidigital number, since it uses as much as digits as its factorization.

1137625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 1137625 is about 1066.5950496791. The cubic root of 1137625 is about 104.3917975284.

It can be divided in two parts, 11 and 37625, that added together give a square (37636 = 194²).

The spelling of 1137625 in words is "one million, one hundred thirty-seven thousand, six hundred twenty-five".