1540625 has 24 divisors (see below), whose sum is σ = 2109240. Its totient is φ = 1120000.

The previous prime is 1540621. The next prime is 1540631. The reversal of 1540625 is 5260451.

1540625 = 293² + 294² + ... + 309².

It can be written as a sum of positive squares in 12 ways, for example, as 1481089 + 59536 = 1217^2 + 244^2 .

It is not a de Polignac number, because 1540625 - 2² = 1540621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1540625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53111 + ... + 53139.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

2^1540625 is an apocalyptic number.

It is an amenable number.

1540625 is a deficient number, since it is larger than the sum of its proper divisors (568615).

1540625 is an frugal number, since it uses more digits than its factorization.

1540625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1540625 is about 1241.2191587306. The cubic root of 1540625 is about 115.4956552153.

The spelling of 1540625 in words is "one million, five hundred forty thousand, six hundred twenty-five".