114031764 has 144 divisors (see below), whose sum is σ = 371245056. Its totient is φ = 28641600.

The previous prime is 114031763. The next prime is 114031793. The reversal of 114031764 is 467130411.

114031764 = T₄₉₇ + T₄₉₈ + ... + T₉₃₀.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85269 + ... + 86595.

Almost surely, 2^114031764 is an apocalyptic number.

114031764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114031764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185622528).

114031764 is an abundant number, since it is smaller than the sum of its proper divisors (257213292).

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

114031764 is a wasteful number, since it uses less digits than its factorization.

114031764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 114031764 is about 10678.5656340166. The cubic root of 114031764 is about 484.9257887658.

The spelling of 114031764 in words is "one hundred fourteen million, thirty-one thousand, seven hundred sixty-four".