1053972 has 30 divisors (see below), whose sum is σ = 2756138. Its totient is φ = 351216.

The previous prime is 1053971. The next prime is 1053989. The reversal of 1053972 is 2793501.

It can be written as a sum of positive squares in only one way, i.e., 1052676 + 1296 = 1026^2 + 36^2 .

It is a super-2 number, since 2×1053972² = 2221713953568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053971) 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, 1303 + ... + 1950.

2^1053972 is an apocalyptic number.

1053972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053972 is an abundant number, since it is smaller than the sum of its proper divisors (1702166).

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

1053972 is a wasteful number, since it uses less digits than its factorization.

1053972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1053972 is about 1026.6313846751. The cubic root of 1053972 is about 101.7676371538.

It can be divided in two parts, 1053 and 972, that added together give a square (2025 = 45²).

The spelling of 1053972 in words is "one million, fifty-three thousand, nine hundred seventy-two".