814101249 has 16 divisors (see below), whose sum is σ = 1176715904. Its totient is φ = 497664000.

The previous prime is 814101247. The next prime is 814101251. The reversal of 814101249 is 942101418.

It is an interprime number because it is at equal distance from previous prime (814101247) and next prime (814101251).

It is not a de Polignac number, because 814101249 - 2¹ = 814101247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814101247) 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, 63232 + ... + 75009.

It is an arithmetic number, because the mean of its divisors is an integer number (73544744).

Almost surely, 2^814101249 is an apocalyptic number.

It is an amenable number.

814101249 is a deficient number, since it is larger than the sum of its proper divisors (362614655).

814101249 is a wasteful number, since it uses less digits than its factorization.

814101249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138408.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 814101249 is about 28532.4595680078. The cubic root of 814101249 is about 933.7403797514.

The spelling of 814101249 in words is "eight hundred fourteen million, one hundred one thousand, two hundred forty-nine".