1012401 has 24 divisors (see below), whose sum is σ = 1670760. Its totient is φ = 585216.

The previous prime is 1012399. The next prime is 1012411. The reversal of 1012401 is 1042101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 245025 + 767376 = 495^2 + 876^2 .

It is not a de Polignac number, because 1012401 - 2¹ = 1012399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1012401 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2^1012401 is an apocalyptic number.

It is an amenable number.

1012401 is a deficient number, since it is larger than the sum of its proper divisors (658359).

1012401 is a wasteful number, since it uses less digits than its factorization.

1012401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012401 is about 1006.1813951768. The cubic root of 1012401 is about 100.4116696223.

Adding to 1012401 its reverse (1042101), we get a palindrome (2054502).

The spelling of 1012401 in words is "one million, twelve thousand, four hundred one".