112731821 has 2 divisors, whose sum is σ = 112731822. Its totient is φ = 112731820.

The previous prime is 112731797. The next prime is 112731823. The reversal of 112731821 is 128137211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98208100 + 14523721 = 9910^2 + 3811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112731821 is a prime.

Together with 112731823, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6450560 and since 112731821 and 6450560 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112731823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56365910 + 56365911.

It is an arithmetic number, because the mean of its divisors is an integer number (56365911).

Almost surely, 2^112731821 is an apocalyptic number.

It is an amenable number.

112731821 is a deficient number, since it is larger than the sum of its proper divisors (1).

112731821 is an equidigital number, since it uses as much as digits as its factorization.

112731821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 26.

The square root of 112731821 is about 10617.5242406128. The cubic root of 112731821 is about 483.0760510481.

The spelling of 112731821 in words is "one hundred twelve million, seven hundred thirty-one thousand, eight hundred twenty-one".