827545401 has 12 divisors (see below), whose sum is σ = 1200476628. Its totient is φ = 549327744.

The previous prime is 827545393. The next prime is 827545409. The reversal of 827545401 is 104545728.

It is an interprime number because it is at equal distance from previous prime (827545393) and next prime (827545409).

It can be written as a sum of positive squares in 2 ways, for example, as 145082025 + 682463376 = 12045^2 + 26124^2 .

It is not a de Polignac number, because 827545401 - 2³ = 827545393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827545409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195220 + ... + 199413.

It is an arithmetic number, because the mean of its divisors is an integer number (100039719).

Almost surely, 2^827545401 is an apocalyptic number.

It is an amenable number.

827545401 is a deficient number, since it is larger than the sum of its proper divisors (372931227).

827545401 is a wasteful number, since it uses less digits than its factorization.

827545401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394872 (or 394869 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 827545401 is about 28767.0888516721. The cubic root of 827545401 is about 938.8523042070.

The spelling of 827545401 in words is "eight hundred twenty-seven million, five hundred forty-five thousand, four hundred one".