84641409 has 32 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 53028432.

The previous prime is 84641363. The next prime is 84641411. The reversal of 84641409 is 90414648.

It is a happy number.

84641409 is a `hidden beast` number, since 8 + 4 + 641 + 4 + 0 + 9 = 666.

It is not a de Polignac number, because 84641409 - 2¹² = 84637313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84641489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70714 + ... + 71900.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^84641409 is an apocalyptic number.

It is an amenable number.

84641409 is a deficient number, since it is larger than the sum of its proper divisors (48414591).

84641409 is a wasteful number, since it uses less digits than its factorization.

84641409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84641409 is about 9200.0765757683. The cubic root of 84641409 is about 439.0637962644.

The spelling of 84641409 in words is "eighty-four million, six hundred forty-one thousand, four hundred nine".