814147953 has 8 divisors (see below), whose sum is σ = 1087221408. Its totient is φ = 541919904.

The previous prime is 814147933. The next prime is 814148011. The reversal of 814147953 is 359741418.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 814147953 - 2¹⁰ = 814146929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814147933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209100 + ... + 212957.

It is an arithmetic number, because the mean of its divisors is an integer number (135902676).

Almost surely, 2^814147953 is an apocalyptic number.

It is an amenable number.

814147953 is a deficient number, since it is larger than the sum of its proper divisors (273073455).

814147953 is a wasteful number, since it uses less digits than its factorization.

814147953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422703.

The product of its digits is 120960, while the sum is 42.

The square root of 814147953 is about 28533.2779925476. The cubic root of 814147953 is about 933.7582352605.

The spelling of 814147953 in words is "eight hundred fourteen million, one hundred forty-seven thousand, nine hundred fifty-three".