84961107 has 24 divisors (see below), whose sum is σ = 153004800. Its totient is φ = 44135280.

The previous prime is 84961081. The next prime is 84961117. The reversal of 84961107 is 70116948.

It is not a de Polignac number, because 84961107 - 2⁶ = 84961043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84961117) 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, 60607 + ... + 61992.

It is an arithmetic number, because the mean of its divisors is an integer number (6375200).

Almost surely, 2^84961107 is an apocalyptic number.

84961107 is a deficient number, since it is larger than the sum of its proper divisors (68043693).

84961107 is a wasteful number, since it uses less digits than its factorization.

84961107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122623 (or 122620 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 84961107 is about 9217.4349468819. The cubic root of 84961107 is about 439.6158958491.

It can be divided in two parts, 84 and 961107, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 84961107 in words is "eighty-four million, nine hundred sixty-one thousand, one hundred seven".