6972405 has 16 divisors (see below), whose sum is σ = 12170304. Its totient is φ = 3380480.

The previous prime is 6972401. The next prime is 6972451. The reversal of 6972405 is 5042796.

It is not a de Polignac number, because 6972405 - 2² = 6972401 is a prime.

It is a super-2 number, since 2×6972405² = 97228862968050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 6⁴ + 9 + 7⁷ + 2⁷ + 4¹¹ + 0 + 5⁹ .

6972405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20964 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (760644).

Almost surely, 2^6972405 is an apocalyptic number.

It is an amenable number.

6972405 is a deficient number, since it is larger than the sum of its proper divisors (5197899).

6972405 is a wasteful number, since it uses less digits than its factorization.

6972405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42276.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 6972405 is about 2640.5311965588. The cubic root of 6972405 is about 191.0414189754.

The spelling of 6972405 in words is "six million, nine hundred seventy-two thousand, four hundred five".