1531953 has 10 divisors (see below), whose sum is σ = 2288594. Its totient is φ = 1021248.

The previous prime is 1531909. The next prime is 1531987. The reversal of 1531953 is 3591351.

It can be written as a sum of positive squares in only one way, i.e., 1520289 + 11664 = 1233^2 + 108^2 .

It is not a de Polignac number, because 1531953 - 2⁸ = 1531697 is a prime.

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

It is a Duffinian number.

1531953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1531253) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9376 + ... + 9537.

2^1531953 is an apocalyptic number.

It is an amenable number.

1531953 is a deficient number, since it is larger than the sum of its proper divisors (756641).

1531953 is an equidigital number, since it uses as much as digits as its factorization.

1531953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18925 (or 18916 counting only the distinct ones).

The product of its digits is 2025, while the sum is 27.

The square root of 1531953 is about 1237.7208893769. The cubic root of 1531953 is about 115.2785434421.

The spelling of 1531953 in words is "one million, five hundred thirty-one thousand, nine hundred fifty-three".