2131819 has 16 divisors (see below), whose sum is σ = 2397600. Its totient is φ = 1886976.

The previous prime is 2131813. The next prime is 2131823. The reversal of 2131819 is 9181312.

2131819 = 257² + 258² + ... + 285².

It is a cyclic number.

It is not a de Polignac number, because 2131819 - 2⁷ = 2131691 is a prime.

It is a super-2 number, since 2×2131819² = 9089304497522, 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 = 2131793 and 2131802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29167 + ... + 29239.

It is an arithmetic number, because the mean of its divisors is an integer number (149850).

2^2131819 is an apocalyptic number.

2131819 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2131819 is a deficient number, since it is larger than the sum of its proper divisors (265781).

2131819 is a wasteful number, since it uses less digits than its factorization.

2131819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its digits is 432, while the sum is 25.

The square root of 2131819 is about 1460.0749980737. The cubic root of 2131819 is about 128.7014508882.

The spelling of 2131819 in words is "two million, one hundred thirty-one thousand, eight hundred nineteen".