2972935 has 24 divisors (see below), whose sum is σ = 4264416. Its totient is φ = 1948800.

The previous prime is 2972903. The next prime is 2972939. The reversal of 2972935 is 5392792.

2972935 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2972935 - 2⁵ = 2972903 is a prime.

It is a Duffinian number.

2972935 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2972894 and 2972903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29385 + ... + 29485.

It is an arithmetic number, because the mean of its divisors is an integer number (177684).

2^2972935 is an apocalyptic number.

2972935 is a deficient number, since it is larger than the sum of its proper divisors (1291481).

2972935 is a wasteful number, since it uses less digits than its factorization.

2972935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 2972935 is about 1724.2201135586. The cubic root of 2972935 is about 143.7899296764.

The spelling of 2972935 in words is "two million, nine hundred seventy-two thousand, nine hundred thirty-five".