192936961 has 24 divisors (see below), whose sum is σ = 241598376. Its totient is φ = 153054720.

The previous prime is 192936941. The next prime is 192936973. The reversal of 192936961 is 169639291.

192936961 = T₁₃ + T₁₄ + ... + T₁₀₄₉.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 191130625 = 1344^2 + 13825^2 .

It is not a de Polignac number, because 192936961 - 2¹¹ = 192934913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (192936941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48915 + ... + 52711.

It is an arithmetic number, because the mean of its divisors is an integer number (10066599).

Almost surely, 2^192936961 is an apocalyptic number.

It is an amenable number.

192936961 is a deficient number, since it is larger than the sum of its proper divisors (48661415).

192936961 is a wasteful number, since it uses less digits than its factorization.

192936961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3882 counting only the distinct ones).

The product of its digits is 157464, while the sum is 46.

The square root of 192936961 is about 13890.1749808993. The cubic root of 192936961 is about 577.8367304642.

The spelling of 192936961 in words is "one hundred ninety-two million, nine hundred thirty-six thousand, nine hundred sixty-one".