6801972 has 24 divisors (see below), whose sum is σ = 16805376. Its totient is φ = 2133888.

The previous prime is 6801961. The next prime is 6801983. The reversal of 6801972 is 2791086.

6801972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6801961) and next prime (6801983).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16468 + ... + 16875.

It is an arithmetic number, because the mean of its divisors is an integer number (700224).

Almost surely, 2^6801972 is an apocalyptic number.

It is an amenable number.

6801972 is an abundant number, since it is smaller than the sum of its proper divisors (10003404).

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

6801972 is a wasteful number, since it uses less digits than its factorization.

6801972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33367 (or 33365 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 6801972 is about 2608.0590484113. The cubic root of 6801972 is about 189.4719595197.

The spelling of 6801972 in words is "six million, eight hundred one thousand, nine hundred seventy-two".