1616401 has 2 divisors, whose sum is σ = 1616402. Its totient is φ = 1616400.

The previous prime is 1616359. The next prime is 1616429. The reversal of 1616401 is 1046161.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1324801 + 291600 = 1151^2 + 540^2 .

It is a cyclic number.

It is not a de Polignac number, because 1616401 - 2¹³ = 1608209 is a prime.

It is a super-2 number, since 2×1616401² = 5225504385602, which contains 22 as substring.

It is a Chen prime.

1616401 is a lucky number.

It is equal to p₁₂₂₂₈₄ and since 1616401 and 122284 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (1616491) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 808200 + 808201.

It is an arithmetic number, because the mean of its divisors is an integer number (808201).

2^1616401 is an apocalyptic number.

It is an amenable number.

1616401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1616401 is an equidigital number, since it uses as much as digits as its factorization.

1616401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1616401 is about 1271.3775992993. The cubic root of 1616401 is about 117.3589918561.

The spelling of 1616401 in words is "one million, six hundred sixteen thousand, four hundred one".