414332137 has 2 divisors, whose sum is σ = 414332138. Its totient is φ = 414332136.

The previous prime is 414332003. The next prime is 414332147. The reversal of 414332137 is 731233414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374654736 + 39677401 = 19356^2 + 6299^2 .

It is a cyclic number.

It is not a de Polignac number, because 414332137 - 2¹¹ = 414330089 is a prime.

It is a super-2 number, since 2×414332137² = 343342239501973538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414332147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207166068 + 207166069.

It is an arithmetic number, because the mean of its divisors is an integer number (207166069).

Almost surely, 2^414332137 is an apocalyptic number.

It is an amenable number.

414332137 is a deficient number, since it is larger than the sum of its proper divisors (1).

414332137 is an equidigital number, since it uses as much as digits as its factorization.

414332137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 28.

The square root of 414332137 is about 20355.1501345483. The cubic root of 414332137 is about 745.5032481056.

The spelling of 414332137 in words is "four hundred fourteen million, three hundred thirty-two thousand, one hundred thirty-seven".