84961953 has 20 divisors (see below), whose sum is σ = 130353300. Its totient is φ = 55108512.

The previous prime is 84961951. The next prime is 84961969. The reversal of 84961953 is 35916948.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36687249 + 48274704 = 6057^2 + 6948^2 .

It is not a de Polignac number, because 84961953 - 2¹ = 84961951 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84961899 and 84961908.

It is not an unprimeable number, because it can be changed into a prime (84961951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11178 + ... + 17171.

It is an arithmetic number, because the mean of its divisors is an integer number (6517665).

Almost surely, 2^84961953 is an apocalyptic number.

It is an amenable number.

84961953 is a deficient number, since it is larger than the sum of its proper divisors (45391347).

84961953 is a wasteful number, since it uses less digits than its factorization.

84961953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28398 (or 28389 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 84961953 is about 9217.4808380598. The cubic root of 84961953 is about 439.6173550023.

The spelling of 84961953 in words is "eighty-four million, nine hundred sixty-one thousand, nine hundred fifty-three".