2136312 has 24 divisors (see below), whose sum is σ = 5786040. Its totient is φ = 712080.

The previous prime is 2136311. The next prime is 2136313.

2136312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2136311) and next prime (2136313).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2136312² = 9127657922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14764 + ... + 14907.

It is an arithmetic number, because the mean of its divisors is an integer number (241085).

2^2136312 is an apocalyptic number.

It is an amenable number.

2136312 is an abundant number, since it is smaller than the sum of its proper divisors (3649728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2136312 is a wasteful number, since it uses less digits than its factorization.

2136312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29683 (or 29676 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2136312 is about 1461.6128078257. The cubic root of 2136312 is about 128.7918040642.

The spelling of 2136312 in words is "two million, one hundred thirty-six thousand, three hundred twelve".