193742131 has 16 divisors (see below), whose sum is σ = 216857088. Its totient is φ = 171580000.

The previous prime is 193742123. The next prime is 193742137. The reversal of 193742131 is 131247391.

It is a cyclic number.

It is not a de Polignac number, because 193742131 - 2³ = 193742123 is a prime.

It is a super-2 number, since 2×193742131² = 75072026648842322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 193742093 and 193742102.

It is not an unprimeable number, because it can be changed into a prime (193742137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129021 + ... + 130513.

It is an arithmetic number, because the mean of its divisors is an integer number (13553568).

Almost surely, 2^193742131 is an apocalyptic number.

193742131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

193742131 is a deficient number, since it is larger than the sum of its proper divisors (23114957).

193742131 is a wasteful number, since it uses less digits than its factorization.

193742131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802.

The product of its digits is 4536, while the sum is 31.

The square root of 193742131 is about 13919.1282413806. The cubic root of 193742131 is about 578.6394297614.

The spelling of 193742131 in words is "one hundred ninety-three million, seven hundred forty-two thousand, one hundred thirty-one".