112729213 has 8 divisors (see below), whose sum is σ = 115662456. Its totient is φ = 109804800.

The previous prime is 112729207. The next prime is 112729219. The reversal of 112729213 is 312927211.

It is an interprime number because it is at equal distance from previous prime (112729207) and next prime (112729219).

It can be written as a sum of positive squares in 4 ways, for example, as 39917124 + 72812089 = 6318^2 + 8533^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112729213 - 2²¹ = 110632061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112729219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29395 + ... + 33007.

It is an arithmetic number, because the mean of its divisors is an integer number (14457807).

Almost surely, 2^112729213 is an apocalyptic number.

It is an amenable number.

112729213 is a deficient number, since it is larger than the sum of its proper divisors (2933243).

112729213 is an equidigital number, since it uses as much as digits as its factorization.

112729213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415.

The product of its digits is 1512, while the sum is 28.

The square root of 112729213 is about 10617.4014240774. The cubic root of 112729213 is about 483.0723257703.

The spelling of 112729213 in words is "one hundred twelve million, seven hundred twenty-nine thousand, two hundred thirteen".