1395216 has 30 divisors (see below), whose sum is σ = 3905070. Its totient is φ = 465024.

The previous prime is 1395209. The next prime is 1395223. The reversal of 1395216 is 6125931.

1395216 is a `hidden beast` number, since 139 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1395209) and next prime (1395223).

It can be written as a sum of positive squares in only one way, i.e., 1218816 + 176400 = 1104^2 + 420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1395216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4701 + ... + 4988.

It is an arithmetic number, because the mean of its divisors is an integer number (130169).

2^1395216 is an apocalyptic number.

1395216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1395216 is an abundant number, since it is smaller than the sum of its proper divisors (2509854).

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

1395216 is a wasteful number, since it uses less digits than its factorization.

1395216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9694 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 1395216 is about 1181.1926176539. The cubic root of 1395216 is about 111.7413247924.

The spelling of 1395216 in words is "one million, three hundred ninety-five thousand, two hundred sixteen".