1957545 has 24 divisors (see below), whose sum is σ = 3479112. Its totient is φ = 1017600.

The previous prime is 1957523. The next prime is 1957547. The reversal of 1957545 is 5457591.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 1929321 = 168^2 + 1389^2 .

It is not a de Polignac number, because 1957545 - 2⁸ = 1957289 is a prime.

1957545 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957547) 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, 1315 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (144963).

2^1957545 is an apocalyptic number.

1957545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1957545 is a deficient number, since it is larger than the sum of its proper divisors (1521567).

1957545 is a wasteful number, since it uses less digits than its factorization.

1957545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1110 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 1957545 is about 1399.1229395589. The cubic root of 1957545 is about 125.0942222928.

The spelling of 1957545 in words is "one million, nine hundred fifty-seven thousand, five hundred forty-five".