1084131972 has 96 divisors (see below), whose sum is σ = 3504291840. Its totient is φ = 281590560.

The previous prime is 1084131949. The next prime is 1084132003. The reversal of 1084131972 is 2791314801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56868 + ... + 73499.

It is an arithmetic number, because the mean of its divisors is an integer number (36503040).

Almost surely, 2^1084131972 is an apocalyptic number.

1084131972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1084131972 is an abundant number, since it is smaller than the sum of its proper divisors (2420159868).

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

1084131972 is a wasteful number, since it uses less digits than its factorization.

1084131972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130398 (or 130390 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1084131972 is about 32926.1593873321. The cubic root of 1084131972 is about 1027.2923422858.

The spelling of 1084131972 in words is "one billion, eighty-four million, one hundred thirty-one thousand, nine hundred seventy-two".