84125953 has 2 divisors, whose sum is σ = 84125954. Its totient is φ = 84125952.

The previous prime is 84125941. The next prime is 84125959. The reversal of 84125953 is 35952148.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82029249 + 2096704 = 9057^2 + 1448^2 .

It is a cyclic number.

It is not a de Polignac number, because 84125953 - 2¹⁷ = 83994881 is a prime.

It is not a weakly prime, because it can be changed into another prime (84125959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42062976 + 42062977.

It is an arithmetic number, because the mean of its divisors is an integer number (42062977).

Almost surely, 2^84125953 is an apocalyptic number.

It is an amenable number.

84125953 is a deficient number, since it is larger than the sum of its proper divisors (1).

84125953 is an equidigital number, since it uses as much as digits as its factorization.

84125953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43200, while the sum is 37.

The square root of 84125953 is about 9172.0201155471. The cubic root of 84125953 is about 438.1706989490.

It can be divided in two parts, 84125 and 953, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 84125953 in words is "eighty-four million, one hundred twenty-five thousand, nine hundred fifty-three".