1952953 has 16 divisors (see below), whose sum is σ = 2217600. Its totient is φ = 1710720.

The previous prime is 1952939. The next prime is 1952957. The reversal of 1952953 is 3592591.

1952953 = 112² + 113² + ... + 193².

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1952953 - 2⁵ = 1952921 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1952957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17863 + ... + 17971.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

2^1952953 is an apocalyptic number.

It is an amenable number.

1952953 is a deficient number, since it is larger than the sum of its proper divisors (264647).

1952953 is a wasteful number, since it uses less digits than its factorization.

1952953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its digits is 12150, while the sum is 34.

The square root of 1952953 is about 1397.4809479918. The cubic root of 1952953 is about 124.9963305589.

The spelling of 1952953 in words is "one million, nine hundred fifty-two thousand, nine hundred fifty-three".