114289092 has 72 divisors (see below), whose sum is σ = 295784216. Its totient is φ = 37200384.

The previous prime is 114289081. The next prime is 114289103. The reversal of 114289092 is 290982411.

It is an interprime number because it is at equal distance from previous prime (114289081) and next prime (114289103).

It can be written as a sum of positive squares in 4 ways, for example, as 2268036 + 112021056 = 1506^2 + 10584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412458 + ... + 412734.

Almost surely, 2^114289092 is an apocalyptic number.

114289092 is a gapful number since it is divisible by the number (12) 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 114289092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147892108).

114289092 is an abundant number, since it is smaller than the sum of its proper divisors (181495124).

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

114289092 is a wasteful number, since it uses less digits than its factorization.

114289092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114289092 is about 10690.6076534498. The cubic root of 114289092 is about 485.2902814644.

The spelling of 114289092 in words is "one hundred fourteen million, two hundred eighty-nine thousand, ninety-two".