1407164213 has 12 divisors (see below), whose sum is σ = 1762821900. Its totient is φ = 1113360192.

The previous prime is 1407164201. The next prime is 1407164221. The reversal of 1407164213 is 3124617041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 366263044 + 1040901169 = 19138^2 + 32263^2 .

It is not a de Polignac number, because 1407164213 - 2¹⁴ = 1407147829 is a prime.

It is a super-2 number, since 2×1407164213² = 3960222244695818738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407164233) 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, 1103888 + ... + 1105161.

It is an arithmetic number, because the mean of its divisors is an integer number (146901825).

Almost surely, 2^1407164213 is an apocalyptic number.

1407164213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1407164213 is a deficient number, since it is larger than the sum of its proper divisors (355657687).

1407164213 is a wasteful number, since it uses less digits than its factorization.

1407164213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209076 (or 2209069 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1407164213 is about 37512.1875261894. The cubic root of 1407164213 is about 1120.5939167713.

The spelling of 1407164213 in words is "one billion, four hundred seven million, one hundred sixty-four thousand, two hundred thirteen".