1461972 has 24 divisors (see below), whose sum is σ = 3560256. Its totient is φ = 466048.

The previous prime is 1461953. The next prime is 1461973. The reversal of 1461972 is 2791641.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2373 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (148344).

2^1461972 is an apocalyptic number.

1461972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1461972 is an abundant number, since it is smaller than the sum of its proper divisors (2098284).

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

1461972 is a wasteful number, since it uses less digits than its factorization.

1461972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5325 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1461972 is about 1209.1203414053. The cubic root of 1461972 is about 113.4957724495.

The spelling of 1461972 in words is "one million, four hundred sixty-one thousand, nine hundred seventy-two".