97000461 has 12 divisors (see below), whose sum is σ = 140291580. Its totient is φ = 64584000.

The previous prime is 97000439. The next prime is 97000469. The reversal of 97000461 is 16400079.

It can be written as a sum of positive squares in 2 ways, for example, as 21206025 + 75794436 = 4605^2 + 8706^2 .

It is not a de Polignac number, because 97000461 - 2⁹ = 96999949 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97000469) 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 11 ways as a sum of consecutive naturals, for example, 961 + ... + 13961.

It is an arithmetic number, because the mean of its divisors is an integer number (11690965).

Almost surely, 2^97000461 is an apocalyptic number.

It is an amenable number.

97000461 is a deficient number, since it is larger than the sum of its proper divisors (43291119).

97000461 is a wasteful number, since it uses less digits than its factorization.

97000461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97000461 is about 9848.8812054974. The cubic root of 97000461 is about 459.4708171086.

It can be divided in two parts, 97000 and 461, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 97000461 in words is "ninety-seven million, four hundred sixty-one", and thus it is an aban number.