3952953 has 6 divisors (see below), whose sum is σ = 5709834. Its totient is φ = 2635296.

The previous prime is 3952937. The next prime is 3952967. The reversal of 3952953 is 3592593.

3952953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2812329 + 1140624 = 1677^2 + 1068^2 .

It is not a de Polignac number, because 3952953 - 2⁴ = 3952937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3952453) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 219600 + ... + 219617.

It is an arithmetic number, because the mean of its divisors is an integer number (951639).

Almost surely, 2^3952953 is an apocalyptic number.

It is an amenable number.

3952953 is a deficient number, since it is larger than the sum of its proper divisors (1756881).

3952953 is a wasteful number, since it uses less digits than its factorization.

3952953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439223 (or 439220 counting only the distinct ones).

The product of its digits is 36450, while the sum is 36.

The square root of 3952953 is about 1988.2034604134. The cubic root of 3952953 is about 158.1152953263.

The spelling of 3952953 in words is "three million, nine hundred fifty-two thousand, nine hundred fifty-three".