828396145 has 16 divisors (see below), whose sum is σ = 1081001808. Its totient is φ = 606873600.

The previous prime is 828396139. The next prime is 828396157. The reversal of 828396145 is 541693828.

It can be written as a sum of positive squares in 8 ways, for example, as 163942416 + 664453729 = 12804^2 + 25777^2 .

It is not a de Polignac number, because 828396145 - 2⁵ = 828396113 is a prime.

It is a super-2 number, since 2×828396145² = 1372480346101722050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828396095 and 828396104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128556 + ... + 134845.

It is an arithmetic number, because the mean of its divisors is an integer number (67562613).

Almost surely, 2^828396145 is an apocalyptic number.

828396145 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

828396145 is a deficient number, since it is larger than the sum of its proper divisors (252605663).

828396145 is a wasteful number, since it uses less digits than its factorization.

828396145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263460.

The product of its digits is 414720, while the sum is 46.

The square root of 828396145 is about 28781.8718119583. The cubic root of 828396145 is about 939.1739177464.

The spelling of 828396145 in words is "eight hundred twenty-eight million, three hundred ninety-six thousand, one hundred forty-five".