6981975 has 144 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 2592000.

The previous prime is 6981973. The next prime is 6981977. The reversal of 6981975 is 5791896.

It is an interprime number because it is at equal distance from previous prime (6981973) and next prime (6981977).

It is not a de Polignac number, because 6981975 - 2¹ = 6981973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (136080) is a multiple of the sum of its prime divisors (70).

6981975 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6981975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981973) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225210 + ... + 225240.

Almost surely, 2^6981975 is an apocalyptic number.

6981975 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6981975 is an abundant number, since it is smaller than the sum of its proper divisors (10350249).

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

6981975 is a wasteful number, since it uses less digits than its factorization.

6981975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 6981975 is about 2642.3427105506. The cubic root of 6981975 is about 191.1287838829.

The spelling of 6981975 in words is "six million, nine hundred eighty-one thousand, nine hundred seventy-five".