1957725 has 72 divisors (see below), whose sum is σ = 4410432. Its totient is φ = 806400.

The previous prime is 1957693. The next prime is 1957729. The reversal of 1957725 is 5277591.

It is not a de Polignac number, because 1957725 - 2⁵ = 1957693 is a prime.

Its product of digits (22050) is a multiple of the sum of its prime factors (147).

It is a self number, because there is not a number n which added to its sum of digits gives 1957725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957729) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17269 + ... + 17381.

It is an arithmetic number, because the mean of its divisors is an integer number (61256).

2^1957725 is an apocalyptic number.

1957725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1957725 is an abundant number, since it is smaller than the sum of its proper divisors (2452707).

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

1957725 is a wasteful number, since it uses less digits than its factorization.

1957725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 1957725 is about 1399.1872640930. The cubic root of 1957725 is about 125.0980563928.

The spelling of 1957725 in words is "one million, nine hundred fifty-seven thousand, seven hundred twenty-five".