972054 has 32 divisors (see below), whose sum is σ = 2211840. Its totient is φ = 316296.

The previous prime is 972047. The next prime is 972071. The reversal of 972054 is 450279.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972054.

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 15 ways as a sum of consecutive naturals, for example, 2347 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (69120).

2⁹⁷²⁰⁵⁴ is an apocalyptic number.

972054 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 972054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105920).

972054 is an abundant number, since it is smaller than the sum of its proper divisors (1239786).

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

972054 is a wasteful number, since it uses less digits than its factorization.

972054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 972054 is about 985.9279892568. The cubic root of 972054 is about 99.0596518369.

The spelling of 972054 in words is "nine hundred seventy-two thousand, fifty-four".